Rainbow’s gravity corrections to the black hole global Casimir effect

Alencar, G.; Cunha, M. S.; Muniz, C. R.

doi:10.1140/epjp/s13360-019-00044-9

Cited by 4 publications

(3 citation statements)

References 34 publications

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“…The rainbow functions have a very considerable effect on the information flux of black holes [56]. Alencar et al [57], studied the influence of gravity's rainbow on the global Casimir effect around a static small black hole at zero and the finite temperature. In addition, combination of gravity's rainbow with modified theories of gravity such as F(R) and F(T ) theories [58][59][60][61], Rastall gravity [62], massive gravity [63], dilaton gravity [64], have been also made.…”

Section: Introductionmentioning

confidence: 99%

Stable three-dimensional (un)charged AdS gravastars in gravity’s rainbow

Barzegar

Bordbar

et al. 2023

Eur. Phys. J. C

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In this work, we study the three-dimensional AdS gravitational vacuum stars (gravastars) in the context of gravity’s rainbow theory. Then we extend it by adding the Maxwell electromagnetic field. We compute the physical features of gravastars, such as proper length, energy, entropy, and junction conditions. Our results show that the physical parameters for charged and uncharged states depend significantly on rainbow functions. Besides from charged state, they also depend on the electric field. Finally, we explore the stability of thin shell of three-dimensional (un)charged AdS gravastars in gravity’s rainbow. We show that the structure of thin shell of these gravastars may be stable and is independent of the type of matter.

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Section: Introductionmentioning

confidence: 99%

Stable three-dimensional (un)charged AdS gravastars in gravity’s rainbow

Barzegar

Bordbar

et al. 2023

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…The rainbow functions have a very considerable effect on the information flux of black holes [56]. Alencar et al [57], studied the influence of gravity's rainbow on the global Casimir effect around a static small black hole at zero and the finite temperature. In addition, combination of gravity's rainbow with modified theories of gravity such as F (R) and F (T ) theories [58][59][60][61], Rastall gravity [62], massive gravity [63], dilaton gravity [64], have been also made.…”

Section: Introductionmentioning

confidence: 99%

Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow

Barzegar¹,

M.²,

Bordbar³

et al. 2023

Preprint

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“…Hence, the effective metric involves functions that depend on the ratio between its energy and the Planck scale. This approach is commonly recognized as "Rainbow Gravity", alternatively termed "Gravity's Rainbow", and has been applied to various astrophysics and cosmological scenarios [16][17][18][19][20][21][22][23][24][25][26][27], as well as in condensed-matter-like systems [28][29][30][31][32]. In fact, rainbow gravity, originating from high-energy scales, retains the ability to predict measurable phenomena even at low-energy scales.…”

mentioning

confidence: 99%

Effects of rainbow gravity on an electron confined to a triangular well and a periodic potential

Bakke,

Muniz

2024

EPL

Self Cite

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We investigate quantum effects concerning the modification of the background via rainbow gravity on an electron. We employ the nonrelativistic approximation of the Dirac equation to analyze these effects in depth. We initially study the interaction between an electron and a uniform electric field, by exploring confinement of the particle to a triangular potential well. We find systematic alterations in the energy levels reliant on the rainbow parameter $\epsilon$. Additionally, we investigate a particle in a periodic potential resembling a ring. We also find consistent alterations in energy levels due to changes in the background via rainbow functions. As in the previously analyzed scenario, as larger the rainbow parameter the lower the obtained energy levels. These findings underscore a systematic influence of modified gravity on particle dynamics in quantum scenarios.

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Rainbow’s gravity corrections to the black hole global Casimir effect

Cited by 4 publications

References 34 publications

Stable three-dimensional (un)charged AdS gravastars in gravity’s rainbow

Stable three-dimensional (un)charged AdS gravastars in gravity’s rainbow

Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow

Effects of rainbow gravity on an electron confined to a triangular well and a periodic potential

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